Search a number
-
+
21202121101000 = 235372432696349
BaseRepresentation
bin1001101001000100000001…
…11001011000111011001000
32210001220101021101201012111
410310202000321120323020
510234333421000213000
6113032041525152104
74315542216544600
oct464420071307310
983056337351174
1021202121101000
116834850694764
12246514355b634
13baa475166b98
1453428c365c00
1526b7b0da5cba
hex134880e58ec8

21202121101000 has 96 divisors (see below), whose sum is σ = 57713039163000. Its totient is φ = 7269298646400.

The previous prime is 21202121100983. The next prime is 21202121101027. The reversal of 21202121101000 is 10112120212.

It can be written as a sum of positive squares in 4 ways, for example, as 3835181723044 + 17366939377956 = 1958362^2 + 4167366^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216299175 + ... + 216397174.

Almost surely, 221202121101000 is an apocalyptic number.

21202121101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202121101000 is an abundant number, since it is smaller than the sum of its proper divisors (36510918062000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21202121101000 is a wasteful number, since it uses less digits than its factorization.

21202121101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432696384 (or 432696363 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21202121101000 its reverse (10112120212), we get a palindrome (21212233221212).

The spelling of 21202121101000 in words is "twenty-one trillion, two hundred two billion, one hundred twenty-one million, one hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 432696349 865392698 1730785396 2163481745 3028874443 3461570792 4326963490 6057748886 8653926980 10817408725 12115497772 15144372215 17307853960 21202121101 21634817450 24230995544 30288744430 42404242202 43269634900 54087043625 60577488860 75721861075 84808484404 86539269800 106010605505 108174087250 121154977720 151443722150 169616968808 212021211010 216348174500 302887444300 378609305375 424042422020 432696349000 530053027525 605774888600 757218610750 848084844040 1060106055050 1514437221500 2120212110100 2650265137625 3028874443000 4240424220200 5300530275250 10601060550500 21202121101000